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Finding the Third Proportional to 399,707,026 and 891,319,652

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Solution

The third proportional to 399,707,026 and 891,319,652 is: 1,987,582,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,707,026 : 891,319,652 = 891,319,652 : x
  2. Step 2: Convert to fraction form
    399,707,026/891,319,652 = 891,319,652/x
  3. Step 3: Cross multiply
    399,707,026x = 891,319,652 × 891,319,652
  4. Step 4: Simplify right side
    399,707,026x = 794,450,722,041,401,088
  5. Step 5: Solve for x
    x = 794,450,722,041,401,088/399,707,026
  6. Step 6: Final answer
    x = 1,987,582,580.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.